Optimal Combination of Signals from Co-located Gravitational Wave Interferometers for use in Searches for a Stochastic Background

Romano, Joseph David, Lazzarini, A., Fritschel, P. and Bose, S. 2004. Optimal Combination of Signals from Co-located Gravitational Wave Interferometers for use in Searches for a Stochastic Background. Physical Review -Series D- 70 (6) , 062001. 10.1103/PhysRevD.70.062001

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Abstract

This article derives an optimal (i.e., unbiased, minimum variance) estimator for the pseudodetector strain for a pair of colocated gravitational wave interferometers (such as the pair of LIGO interferometers at its Hanford Observatory), allowing for possible instrumental correlations between the two detectors. The technique is robust and does not involve any assumptions or approximations regarding the relative strength of gravitational wave signals in the Hanford pair with respect to other sources of correlated instrumental or environmental noise. An expression is given for the effective power spectral density of the combined noise in the pseudodetector. This can then be introduced into the standard optimal Wiener filter used to cross-correlate detector data streams in order to obtain an optimal estimate of the stochastic gravitational wave background. In addition, a dual to the optimal estimate of strain is derived. This dual is constructed to contain no gravitational wave signature and can thus be used as an “off-source” measurement to test algorithms used in the “on-source” observation.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Publisher:	American Physical Society
ISSN:	0556-2821
Last Modified:	21 May 2023 05:55
URI:	https://orca.cardiff.ac.uk/id/eprint/1590

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